It is difficult to compute the Laplace transform X$($s$)$ of signalby using direct integration. Instead, properties provide a simpler method.a$.$ Use Laplace transform properties to express the Laplace transform of tx$($t$)$ in terms of the unknown quantity X$($s$).$ b$.$ Use the definition to determine the Laplace transform of y$($t$)=$ tx$($t$).$c$.$ Solve for X$($s$)$ by using the two pieces from a and b$.$ Simplify your answer.